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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 57 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 25 sq cm (c) 133 sq cm (d) 50 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  3. 3.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 10 cm (c) 11 cm (d) 20 cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  5. 5.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 180 cm (c) 10 cm (d) 11 cm
  6. 6.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 120 cm (c) 12 cm (d) 22 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  8. 8.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 51 cm (d) 4 cm
  9. 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  12. 12.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 52 sq cm (d) 153 sq cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  14. 14.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 90 sq cm (d) 72 sq cm
  15. 15.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 77 sq cm (d) 66 sq cm
  16. 16.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  17. 17.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 17 sq cm (c) 56 sq cm (d) 34 sq cm
  18. 18.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 40 cm (d) 48 cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
  21. 21.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 104 cm (d) 9 cm
  22. 22.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 29 sq cm (d) 58 sq cm
  23. 23.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 119 cm
  24. 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
  25. 25.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 20 cm (d) 12 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  28. 28.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 17 cm (d) 32 cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  30. 30.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 60 cm
  31. 31.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 8 cm (d) 9 cm
  32. 32.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 154 cm
  33. 33.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
  34. 34.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  35. 35.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 7 cm (d) 14 cm
  36. 36.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 12 cm (d) 11 cm
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm
  38. 38.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 6 cm (d) 10 cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  40. 40.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 25 cm (d) 50 cm

Answer key

  1. 114 sq cm
  2. 49 sq cm
  3. 10 cm
  4. 14 sq cm
  5. 10 cm
  6. 11 cm
  7. 100 sq cm
  8. 4 cm
  9. 40 sq cm
  10. 64 sq cm
  11. 36 sq cm
  12. 153 sq cm
  13. 25 sq cm
  14. 72 sq cm
  15. 66 sq cm
  16. 11 cm
  17. 42 sq cm
  18. 48 cm
  19. 225 sq cm
  20. 18 sq cm
  21. 9 cm
  22. 180 sq cm
  23. 8 cm
  24. 60 sq cm
  25. 24 cm
  26. 16 sq cm
  27. 81 sq cm
  28. 34 cm
  29. 196 sq cm
  30. 7 cm
  31. 8 cm
  32. 12 cm
  33. 22 cm
  34. 21 sq cm
  35. 7 cm
  36. 11 cm
  37. 42 sq cm
  38. 5 cm
  39. 169 sq cm
  40. 50 cm

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